It’s difficult to see how exactly the output relates to the input. Try this as your starting point:
XSLT 1.0
<xsl:stylesheet version="1.0"
xmlns:xsl="http://www.w3.org/1999/XSL/Transform">
<xsl:output method="xml" version="1.0" encoding="UTF-8" indent="yes"/>
<xsl:strip-space elements="*"/>
<xsl:key name="transports-by-destination" match="transports" use="destination" />
<xsl:key name="transports-by-assortment" match="transports" use="concat(destination, '|', assortment)" />
<xsl:template match="/*">
<xsl:copy>
<!-- for each unique destination -->
<xsl:for-each select="transports[count(. | key('transports-by-destination', destination)[1]) = 1]">
<Destination>
<name>
<xsl:value-of select="destination"/>
</name>
<xsl:variable name="group" select="key('transports-by-destination', destination)" />
<!-- for each unique assortment in this destination -->
<xsl:for-each select="$group[count(. | key('transports-by-assortment', concat(destination, '|', assortment))[1]) = 1]">
<assortment>
<name>
<xsl:value-of select="assortment"/>
</name>
<!-- process this subgroup -->
<xsl:for-each select="key('transports-by-assortment', concat(destination, '|', assortment))" >
<row>
<!-- not sure what goes in here -->
<totalQuantity>
<xsl:value-of select="quantity"/>
</totalQuantity>
</row>
</xsl:for-each>
</assortment>
</xsl:for-each>
</Destination>
</xsl:for-each>
</xsl:copy>
</xsl:template>
</xsl:stylesheet>